Variable denisty in the contiuity and momentum equaiton

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hoomanya
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Hi,

I am writing a code for a flow with a low degree of in-compressibility. So in my continuity and momentum equations, the density varies. I have never worked with variable density before so I was wondering, how does one usually decide on how the density varies and go on about solving these equations where you have velocity and density as unknowns in the continuity equations.

I would appreciate any hints.

Thanks,

H
 
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You have to include equations of state.

Such as P=rho*R*T
rho = density

Then your momentum and energy equations are no longer uncoupled.